The formula

t=c1[lnAln(AN)]

describes the time, t, in weeks, that it takes to achieve mastery of a portion of a task, where A is the maximum learning possible, N is the portion of the learning that is to be achieved, and c is a constant used to measure an individual's learning style.

a. Express the formula so that the expression in brackets is written as a single logarithm.

b. Use the form of the formula from part a to answer this question. An animal learning sign language can master a maximum of

60

signs. How many weeks will it take the animal to master

25

signs if the constant c for that animal is

0.02?

a. Express the formula in the brackets as a single logarithm. Choose the correct answer below.

A.

t=1/clnAAN

B.

t=1/clnANA

C.

t=1/cln[A(AN)]

D.

t=1/cln[A(AN)]

b. It will take the animal

weeks to master

25

of

60

signs with

c=0.02.

(Round up to the nearest week.)